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g = 2 hyperelliptic curve invariants, Siegel modular functions and applications

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BLHW01 - Number theory, machine learning and quantum black holes

Siegel modular forms have certain interesting applications in toroidal compactification of heterotic sting theory. In this talk, I will provide an update on the problem of studying vacua in 4d N = 1 heterotic string theory on toroidal orbifolds with a Wilson line modulus. On the mathematical side, this is related to the construction and analysis of automorphic functions and singular moduli of g =2 curves. Time permitting, we will also analyse the pullback of these invariants and their physical interpretation.

This talk is part of the Isaac Newton Institute Seminar Series series.

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